This doesn't make any sense to me. Did events happen, were those events described, were there characters who had personality and motivations, did those characters do things and have discussions? That's a story. Possibly an incoherent one, but a story nonetheless.
Which bit doesn't make sense?
Our AD&D games were story-free. The PCs had no personalities beyond their players playing their alignments and classes, with one exception where the player added a little bit of flair on top of that. (Ie they were traditional AD&D PCs.) One of the sessions was a randomly generated dungeon, the other X2; in both rooms were described and explored, and some NPCs/creatures interacted with.
I Googled "definition of story" and got the following:
1.
an account of imaginary or real people and events told for entertainment.
"an adventure story"
Similar: tale, narrative, account, recital, anecdote, chronicle, history, yarn, spiel
• a plot or storyline.
"the novel has a good story"
Similar: plot, storyline, scenario, chain of events, diegesis
• a report of an item of news in a newspaper, magazine, or broadcast.
"stories in the local papers"
Similar: news item, news report, article, feature, piece, exclusive, exposé, spoiler, scoop
• a piece of gossip; a rumour.
"there have been lots of stories going around, as you can imagine"
• a false statement; a lie.
I don't think the last two dot points are very relevant to RPGing.
The first, and even moreso the second, are what I mean by
story. The AD&D sessions that I played of course generated
sequences of fictional events (or, if you prefer,
accounts of imaginary people and events). But those were not told for entertainment; the entertainment did not consist in the account, in the plot, in the storyline. It would be inapposite to ask whether the sessions of play yielded a good story or a bad one; because the play was aimed at something else.
The second dot point is close to the notion of "war story" I used upthread, and of course in that sense one can give an account of what happened in the AD&D sessions.
The contrast between those sessions and (say) Burning Wheel or Prince Valiant sessions is marked and not coincidental.